36123000561261 has 24 divisors (see below), whose sum is σ = 54010696947480. Its totient is φ = 23237026759296.

The previous prime is 36123000561253. The next prime is 36123000561383. The reversal of 36123000561261 is 16216500032163.

36123000561261 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 30 + 0 + 0 + 5 + 612 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71754336900 + 36051246224361 = 267870^2 + 6004269^2 .

It is not a de Polignac number, because 36123000561261 - 2³ = 36123000561253 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36123000561961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42915150 + ... + 43748783.

It is an arithmetic number, because the mean of its divisors is an integer number (2250445706145).

Almost surely, 2^{36123000561261} is an apocalyptic number.

It is an amenable number.

36123000561261 is a deficient number, since it is larger than the sum of its proper divisors (17887696386219).

36123000561261 is a wasteful number, since it uses less digits than its factorization.

36123000561261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86665565 (or 86665562 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 36123000561261 in words is "thirty-six trillion, one hundred twenty-three billion, five hundred sixty-one thousand, two hundred sixty-one".